Renormalization Group Flow near the Superconformal Points in N=2 Supersymmetric Gauge Theories

TL;DR

This paper investigates the renormalization group flow near superconformal points in N=2 supersymmetric gauge theories, analyzing how the beta-function behaves and scales with moduli parameters in different models.

Contribution

It provides a detailed analysis of the RG flow near superconformal points and explicitly relates the scaling dimensions of the beta-function to moduli parameters, confirming partial results with previous studies.

Findings

Beta-function scaling dimensions are explicitly derived.

RG flow near superconformal points is uniquely determined.

Results are consistent with previous findings by Bilal and Ferrari.

Abstract

The behavior of the beta-function of the low-energy effective coupling in the N=2 supersymmetric SU(2) QCD with several massive matter hypermultiplets and in the SU(3) Yang-Mills theory is determined near the superconformal points in the moduli space. The renormalization group flow is unambiguously fixed by looking at limited types of deformation near the superconformal points. It is pointed out that the scaling dimension of the beta-function is controlled by the scaling behavior of moduli parameters and the relation between them is explicitly worked out. Our scaling dimensions of the beta-functions are consistent in part with the results obtained recently by Bilal and Ferrari in a different method for the SU(2) QCD.